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Finding the Fourth Proportional to 366.47, 505.77 and 209.12

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Solution

The fourth proportional to 366.47, 505.77 and 209.12 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.47 : 505.77 = 209.12 : x
  2. Step 2: Convert to fraction form
    366.47/505.77 = 209.12/x
  3. Step 3: Cross multiply
    366.47x = 505.77 × 209.12
  4. Step 4: Simplify right side
    366.47x = 105,768.16
  5. Step 5: Solve for x
    x = 105,768.16/366.47
  6. Step 6: Final answer
    x = 288.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.